Home
Class 12
MATHS
If the angle A ,Ba n dC of a triangle ar...

If the angle `A ,Ba n dC` of a triangle are in an arithmetic propression and if `a , ba n dc` denote the lengths of the sides opposite to `A ,Ba n dC` respectively, then the value of the expression `a/csin2C+c/asin2A` is `1/2` (b) `(sqrt(3))/2` (c) `1` (d) `sqrt(3)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If the angles A, B and C of a triangle are in an arithmetic progression and if a, b and c denote the lengths of the sides opposite to A, B and C respectively, then the value of the expression (a)/(c) sin 2C + (c)/(a) sin 2A is

If the angle A,B and C of a triangle are in an arithmetic propression and if a,b and c denote the lengths of the sides opposite to A,B and C respectively,then the value of the expression (a)/(c)sin2C+(c)/(a)sin2A is (1)/(2)(b)(sqrt(3))/(2) (c) 1(d) sqrt(3)

If the angle A , B and C of a triangle are in arithmetic progession and if a , b and c denote the lengths of the sides to A , B and C respectively , then the value of the expression a/b sin 2C + c/a sin 2A is

Let ABC be a triangle such that /_ACB=(pi)/(6) and let a,b and c denote the lengths of the side opposite to A,B, and C respectively.The value(s) of x for which a=x^(2)+x+1,b=x^(2)-1, and c=2x+1 is(are) -(2+sqrt(3))( b) 1+sqrt(3)2+sqrt(3)(d)4sqrt(3)

Let ABC be a triangle such that /_ABC=(pi)/(6) and let a,b and c denote the lengths of the sides opposite to A,B and C respectively. The value(s) of x for which a=x^(2)+x+1,b=x^(2)-1 and c=2x+1 is /are(a)-(2+sqrt(3))(b)1+sqrt(3)(c)2+sqrt(3) (d) 4qsrt3

In a "Delta"A B C , let a ,b , and c denote the length of sides opposite to vertices A, B, and C respectively. If b=2,c=sqrt(3) and /_B A C=pi/6, then value of circumradius of triangle ABC is- 1/2 (2) 1 (3) 2 (4) 1/4

Let P Q R be a triangle of area with a=2,b=7/2,a n dc=5/2, w h e r ea , b ,a n dc are the lengths of the sides of the triangle opposite to the angles at P ,Q ,a n dR respectively. Then (2sinP-sin2P)/(2sinP+sin2P)e q u a l s

In a triangle A B C , let P a n d Q be points on A Ba n dA C respectively such that P Q || B C . Prove that the median A D bisects P Qdot

If a and b are the position vectors of A and B respectively; find the position vector of a point C on BA produced such that BC=3/2BA.

If the angles of a triangle are in the ratio 4:1:1 then the ratio of the longest side to the perimeter is- sqrt(3):(2+sqrt(3)) b.1:sqrt(3)c1:2+sqrt(3)d.2:3

RESONANCE DPP-JEE MAINS-All Questions
  1. If the ratio of the roots of the equation, x^2+alphax+alpha+2=0 is ...

    Text Solution

    |

  2. The circle x^2+y^2-4x-2y=11 makes equal intercepts on the lines L1: x...

    Text Solution

    |

  3. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  4. Find the value of a ,b ,c such that curves y=x^2+a x+ba n dy=c x-x^2 ...

    Text Solution

    |

  5. Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not e...

    Text Solution

    |

  6. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  7. If sum(k=1)^(k=n)tan^(- 1)(2k)/(2+k^2+k^4)=tan^(- 1)(6/7), then the va...

    Text Solution

    |

  8. A B C D is a quadrilateral. E is the point of intersection of th...

    Text Solution

    |

  9. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  10. The range of the function sin^-1(x^2+2 x),x > 0 is

    Text Solution

    |

  11. Find (dy)/(dx), when xa n dy are connected by the following relations ...

    Text Solution

    |

  12. Differentiate the following functions with respect to xdot x^(2/3)+7e...

    Text Solution

    |

  13. If 2^x+2^y=2^(x+y), then (dy)/(dx) is equal to -(2^y)/(2^x) (b) 1/(1-...

    Text Solution

    |

  14. Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is (a)...

    Text Solution

    |

  15. int(1+x+sqrt(x+x^2))/(sqrt(x)+sqrt(1+x))dx is equal to

    Text Solution

    |

  16. At the foot of a mountain the elevation of its summit is 45^0; after a...

    Text Solution

    |

  17. The angle of elevation of a jet plane from a point A on the grund is 6...

    Text Solution

    |

  18. From the top of a building 60m high the angles of depression of the to...

    Text Solution

    |

  19. A man of a cliff observes a boat at an angle of depression of 30^0 whi...

    Text Solution

    |

  20. The point P on the ellipse 4x^2+9y^2=36 is such that the are of the P...

    Text Solution

    |